Find the equation of the circle which passes through the points (1, 2), (2, 2) and (4, -1)?

Asked by Last Modified  

2 Answers

Learn Class XI-XII Tuition (PUC) +2 Mathematics Conic Sections

Follow 0
Answer

Please enter your answer

Sarvajeet Kumar

An Experienced Trainer

square of (x-3/2) + square of (y-3/2) = 1/2.
Comments
Dislike Bookmark

Tutor

Take the general equation for a circle: x^2 + y^2 + 2gx + 2fy + c = 0, where the center is at (-g, -f) and the radius is sq root of (g^2 +f^2 -c). Now use the given points to get three equations to solve for three unknowns, g, f, and c. The equations with point (1, 2) becomes: 1^2 + 2^2 + 2xgx1 + 2xfx2...
read more
Take the general equation for a circle: x^2 + y^2 + 2gx + 2fy + c=0, where the center is at (-g, -f) and the radius is sq root of (g^2 +f^2 -c). Now use the given points to get three equations to solve for three unknowns, g, f, and c. The equations with point (1, 2) becomes: 1^2 + 2^2 + 2xgx1 + 2xfx2 + c=0 => 2g + 4f + c=- 5 .............. (1) Similarly, the equation with the point (2, 2) is: => 4g + 4f + c=- 8 .............. (2) And, the equation with the point (4, -1) is: => 8g - 2f + c=- 17 .............. (3) From (1) - (2) we get: -2g = 3 --> g=-3/2. Using this value of g in (1) we get: 4f + c=- 2 ............ (4) Using this value of g in (3) we get: -2f + c=- 5 ............ (5) From (4) - (5) we can get: 6f=3 --> f=1/2. Using this value of f in (5) we get: c=- 4. So, the equation of the circle is: x^2 + y^2 + 2(-3/2)x + 2(1/2)y + (- 4) = 0. After simplification: --> x^2 + y^2 -3x +y - 4 = 0 (Answer) read less
Comments
Dislike Bookmark

Related Questions

I am from IIT-Bombay is opening a coaching to teach students Physics chemistry and mathematics in Dadar mumbai for engineering entrance exams... any ideas how to target students from mumbai through urban pro.?
you will get positive support from urban pro. With my best wishes.
Himanshu Yadav
0 0
9
“In a electrical circuit, the potential difference across a conductor is directly proportional to the current flowing through it, provided the temperature of the conductor remains the same.” This is called __________. (Ohm’s Law, Coulomb’s Law, Guass’s Law, None of these)
Ohm’s Law
Narendra Kumar
0 0
8
Find the x and y intercepts of the graph of the equation: 9(square of x) + 4(square of y) = 36?
put x=0 and find the y-intercept. put y=0 and find the x-intercept.
Priyanka
0 0
8
The equation of a current is given by i = Imsin2?t. The frequency of the current in Hz is a.) ? ? 2?. b.) ? ? 2. c.) 2? ? ?. d.) ? ? ?.
Kindly re-post the question without the question mark symbols.
Kumar Upendra Akshay
0 0
6
What is acromegaly ?
A hormonal disorder due to excessive secretion of pituitary gland
Kumar Upendra Akshay

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

Understanding Computer Science Concepts with Images and Videos..
All Computer science concepts relating to programming and software development are only virtual. It cannot be practically shown as a hardware parts of a computer. But for better understanding it should...

Ganesa M.

0 0
0
Laws Of Motion
Newtons laws of motion: First law: Law of inertia: Every body continues to be in its state of rest or of uniform motion in a straight line unless compelled to change that state by an external unbalanced...

Shafeequ Rahman

0 0
0
Introduction To Accounting: Part 15: Cost Concept Or Historical Cost Concept
According to the Cost Concept, an asset is recorded in the books of account at the price paid to acquire it and the cost is the basis for all subsequent accounting of the asset. Since the acquisition...

Nishant Kumar

0 0
0
Accountancy Basics
Assets - Dr balance Liability- Cr Balance Expence-Dr Balance Income- Cr Balance To Increase Debit Balance Account- Dr To Decrease Debit Balance Account- Cr To Increase Credit Balance Account- Cr To Decrease credit Balance Account- Dr
A

Akhil Mathew

1 0
0
Method of Mathematical Induction
Method of Mathematical Induction ******************************* In Mathematical Induction, first we prove it for n=1. Then assume it to work for n=k. Prove that it works for n=k+1. For example let...

Kumaresh Natarajan

0 0
0

Recommended Articles

Meet Radhe Shyam Burman, an MBA Tutor from...

Radhe Shyam is a highly skilled accounts and finance trainer with 8 years of experience in teaching. Accounting is challenging for many students and that’s where Radhe Shyam’s expertise comes into play. He helps his students not only in understanding the subject but also advises them on how to overcome the fear of accounts...

Read full article >

Meet Raghunandan.G.H, a B. Tech Tutor from...

Raghunandan is a passionate teacher with a decade of teaching experience. Being a skilled trainer with extensive knowledge, he provides high-quality BTech, Class 10 and Class 12 tuition classes. His methods of teaching with real-time examples makes difficult topics simple to understand. He explains every concept in-detail...

Read full article >

Meet Swati, a Hindi Tutor from Bangalore

Swati is a renowned Hindi tutor with 7 years of experience in teaching. She conducts classes for various students ranging from class 6- class 12 and also BA students. Having pursued her education at Madras University where she did her Masters in Hindi, Swati knows her way around students. She believes that each student...

Read full article >

Meet Urmila, an MBBS tutor from Bangalore

Urmila is a passionate teacher with over 8 years of experience in teaching. She is currently pursuing her Ph. D. She provides classes for Class 11, Class 12, MBBS and Medical tuition.  Urmila began her career in teaching long before she became a teacher. She used to provide classes for foreign national students in her college...

Read full article >

Find Class 12 Tuition near you
Class 12 Tuition in Delhi
Class 12 Tuition in Bangalore
Class 12 Tuition in Hyderabad
Class 12 Tuition in Chennai
Class 12 Tuition in Mumbai
Class 12 Tuition in Kolkata
Class 12 Tuition in Pune
Class 12 Tuition in Jaipur
Class 12 Tuition in Noida
Class 12 Tuition in Lucknow
Online Tuition Class 12

Looking for Class 12 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you